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Nontangential limits and Fatou-type theorems on post-critically finite self-similar sets
Fatou-type theorems post-critically finite self-similar sets
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2010/11/18
In this paper we study the boundary limit properties of harmonic functions on $\mathbb R_+\times K$, the solutions $u(t,x)$ to the Poisson equation \[ \frac{\partial^2 u}{\partial t^2} + \Delta u = 0...